We have the following points and their coordinates:
We must compute the distance ST between them.
The distance ST between the two points is given by:
![ST=\sqrt[]{(x_S-x_T)^2+(y_S-y_T)^2_{}},](https://tex.z-dn.net/?f=ST%3D%5Csqrt%5B%5D%7B%28x_S-x_T%29%5E2%2B%28y_S-y_T%29%5E2_%7B%7D%7D%2C)
where (xS,yS) are the coordinates of the point S and (xT,yT) are the coordinates of the point T.
Replacing the coordinates of the points in the formula above, we find that:
![\begin{gathered} ST=\sqrt[]{(-3_{}-(-2)_{})^2+(10_{}-3_{})^2_{}}, \\ ST=\sqrt[]{1^2+7^2}, \\ ST=\sqrt[]{50}\text{.} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20ST%3D%5Csqrt%5B%5D%7B%28-3_%7B%7D-%28-2%29_%7B%7D%29%5E2%2B%2810_%7B%7D-3_%7B%7D%29%5E2_%7B%7D%7D%2C%20%5C%5C%20ST%3D%5Csqrt%5B%5D%7B1%5E2%2B7%5E2%7D%2C%20%5C%5C%20ST%3D%5Csqrt%5B%5D%7B50%7D%5Ctext%7B.%7D%20%5Cend%7Bgathered%7D)
Answer: ST = √50
Answer: 10
Step-by-step explanation:
I just took the test!! :)
D -9 because it has a -3 and its going to be the same - sign
Answer:
3 cylinder will fill 9 cones with water
Step-by-step explanation:
This problem bothers on mensuration of slides, cone and cylinder
We know that the
Volume of a cylinder = πr²h
Volume of a cone = 1/3(πr²h)
Given that both cylinder and cone has same height and radius
From the given expression we can deduce that the cone is 3 times smaller than the cylinder in volume
So if 1 cylinder will fill 3 cones
Then 3 cylinders will fill x cones
By cross multiplication we have
x= 3*3cones
x= 9 cones
Hence 3 cylinder will fill 9 cones with water
